\documentclass{exam-zh}

\begin{document}

$\vec{a} \quad  \vec{AB}$

$AB\parallel CD$
\examsetup{
  symbols/parallel-type = perpendicular
}
$AD\parallel CD$

$AB\nparallel CD$
\examsetup{
  symbols/nparallel-type = perpendicular
}
$AD\nparallel CD$

$AB\paralleleq CD$
\examsetup{
  symbols/paralleleq-type = perpendicular
}
$AD\paralleleq CD$

$A\cup B$
$A\cup* B$

$A\cap B$
$A\cap* B$

$A\subset B$
$A\subset* B$

$A\nsubset B$
$A\nsubset* B$

$A\subseteq B$
$A\subseteq* B$

$A\nsubseteq B$
$A\nsubseteq* B$

$A\subsetneqq B$
$A\subsetneqq* B$

$A\nsubsetneqq B$

$A\supset B$
$A\supset* B$

$A\nsupset B$
$A\nsupset* B$

$A\supseteq B$
$A\supseteq* B$

$A\nsupseteq B$
$A\nsupseteq* B$

$A\supsetneqq B$
$A\supsetneqq* B$

$A\nsupsetneqq B$

\end{document}